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1334681481348 = 2232229161897317
BaseRepresentation
bin10011011011000001001…
…101110011000010000100
311201121001020200020201100
4103123001031303002010
5133331411424400343
62501051052100100
7165266436256035
oct23330115630204
94647036606640
101334681481348
114750429a0476
12196806164630
1398b24338237
1448855660a8c
1524ab8a399d3
hex136c1373084

1334681481348 has 36 divisors (see below), whose sum is σ = 3388510865740. Its totient is φ = 442951056576.

The previous prime is 1334681481347. The next prime is 1334681481379. The reversal of 1334681481348 is 8431841864331.

1334681481348 is a `hidden beast` number, since 1 + 3 + 3 + 46 + 81 + 481 + 3 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1241749178244 + 92932303104 = 1114338^2 + 304848^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1334681481294 and 1334681481303.

It is not an unprimeable number, because it can be changed into a prime (1334681481347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80940415 + ... + 80956902.

Almost surely, 21334681481348 is an apocalyptic number.

1334681481348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1334681481348 is an abundant number, since it is smaller than the sum of its proper divisors (2053829384392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1334681481348 is a wasteful number, since it uses less digits than its factorization.

1334681481348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161897556 (or 161897551 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 1334681481348 in words is "one trillion, three hundred thirty-four billion, six hundred eighty-one million, four hundred eighty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 161897317 323794634 485691951 647589268 971383902 1457075853 1942767804 2914151706 5828303412 37074485593 74148971186 111223456779 148297942372 222446913558 333670370337 444893827116 667340740674 1334681481348